ASVAB Math Knowledge Practice Test 631580 Results

Your Results Global Average
Questions 5 5
Correct 0 2.73
Score 0% 55%

Review

1

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Last

Odd

Inside


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


2

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r

c = π d2

c = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


4

The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 3x - 2
y = \(\frac{1}{2}\)x + 4
y = 3x - 4
y = \(\frac{1}{2}\)x - 3

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -4) and (2, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)
m = \(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x - 3


5

The endpoints of this line segment are at (-2, 6) and (2, 2). What is the slope of this line?

46% Answer Correctly
-2
1\(\frac{1}{2}\)
-1
1

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, 2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
m = -1